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Quadratic equations GCSE revision guide
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Quadratic equations GCSE revision guide

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Revision guide outlining all you need to know about quadratic equations up to grade 5. Good for Foundation and Higher students. Suitable for Edexcel, AQA and OCR exam boards. Includes: Expanding double brackets Factorising quadratics Difference of two squares Solving quadratics by factorising Sketching quadratic graphs without a table Finding turning points of quadratic graphs (not by completing the square) Using graphs to estimate solutions Also get your higher quadratic equations revision guide following the link below. https://www.tes.com/teaching-resource/higher-quadratics-gcse-revision-guide-12208545 Including: Quadratic formula Harder quadratics Difference of two squares Solving harder quadratic equations Quadratic graphs Quadratic inequalities Transformations of quadratic graphs Completing the square Quadratic simultaneous equations Click the link below to get more free revision guides. We won’t ask for your email or anything like that :) https://flowmathematics.co.uk/revision-guides/
Density
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Density

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Calculating density Calculating volume Calculating mass Calculations where the mass needs converting Deciding if objects sink or float Calculating the density when two liquids are mixed together   Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12362987
Calculating with rates
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Calculating with rates

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Rates not involving time Rates involving time Unitary method Worded questions   Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12361883
Tree diagrams
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Tree diagrams

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This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.   Under the hood Intro examples completing an already drawn tree diagram Using tree diagrams to calculate probabilities with replacement Using tree diagrams to calculate probabilities without replacement Drawing a tree diagram Challenging examples involving finding probabilities of “at least one” success and tree diagrams with 3 branches/3 trials.   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12482181
Simultaneous equations - substitution
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Simultaneous equations - substitution

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.   Under the hood Simultaneous equations where one equation must be substituted into the other Questions where one equation must be rearranged before substituting Simultaneous equations which must be solved by putting them equal to one another   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12420573
Distance-time graphs
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Distance-time graphs

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Free preview - This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Calculating the speed by finding the gradient Interpreting horizontal lines and downward sloping lines Drawing a distance-time graph Calculating average speed   Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below. https://www.tes.com/teaching-resource/resource-12827146 Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Surds
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Surds

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Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.   Under the hood Simplifying surd expressions by multiplying and cancelling - e.g., √5 x √5 x √5 and 7/√7 Simplifying surds using the rule √ab = √a x √b Expanding brackets that contain surds Challenge questions involving surd expressions with fractions and writing expressions in the form p√q where q is the smallest possible integer   Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below. https://www.tes.com/teaching-resource/resource-12830349 Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Transformations
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Transformations

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This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.   Under the hood Reflecting shapes on a grid Rotating shapes on a grid Translating shapes on a grid Describing reflections, rotations and translations Challenge questions involving combined translations and reflecting in the lines y = x and y = -x.   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12482174
Decimals on the number line
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Decimals on the number line

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood One decimal place number lines Two decimal place number lines Three decimal place number lines Four decimal place number lines   Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12362479
Enlargement - Area and volume
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Enlargement - Area and volume

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This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Enlargement using the area scale factor Enlargement using the volume scale factor Finding missing lengths when given the areas (or volumes) of similar shapes Harder questions that involve combining volume and surface area   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12363431
Enlargement on a grid
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Enlargement on a grid

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Enlarging shapes on a grid with horizontal and vertical sides Enlarging shapes on a grid that have diagonal sides “Enlarging” shapes on a grid when the scale factor is a fraction Describing enlargements on a grid. I.e., scale factor, centre of enlargement   Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12363449
Velocity-time graphs
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Velocity-time graphs

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This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.   Under the hood Interpreting constant acceleration velocity-time graphs - i.e., using gradient to find the acceleration, finding the distance by calculating the area underneath Estimating the acceleration from a curved velocity-time graph Calculating the average acceleration between two points Using trapeziums to estimate the distance from a curved velocity-time graph   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12482195
Quadratic inequalities
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Quadratic inequalities

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.   Under the hood Solving quadratic inequalities Solving quadratic inequalities that need rearranging first Challenge questions that involve forming quadratic inequalities and listing integer solutions that satisfy pairs of inequalities   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12409684
Probability and equations (Algebraic probability)
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Probability and equations (Algebraic probability)

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A well thought out worksheet of very challenging questions that combine probability, ratio and algebra to stretch those students aiming for grades 8 and 9.   Includes conditional probability examples and those where a quadratic equation must be derived. Thorough, comprehensive, and carefully designed to boost confidence and grades. Answers included. Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12395470
Area of a trapezium
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Area of a trapezium

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Applying the formula Examples with slanted sides that must be ignored. Trapeziums that have been rotated. Trapeziums that don’t look like the standard one the students are used to. Working backwards from the area to find missing lengths.   Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.   Answers included. Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12361829
Expanding double brackets
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Expanding double brackets

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Examples with positive numbers inside the brackets Examples with negative numbers inside the brackets Examples with numbers in front of x inside the brackets - e.g., (2x + 3)(5x - 4) Examples with more than one different letter in the brackets - e.g., (x + 3)(y + 4) Examples where the bracket is squared - e.g., (x - 3)^2   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12361421
Estimating powers and roots
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Estimating powers and roots

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Estimating square roots - i.e., finding the pairs of whole numbers they sit between Estimating powers of numbers by rounding them to one significant figure   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12364181
Circle theorems
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Circle theorems

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This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Angle at the centre double that at the circumference Angles in semicircles Angles in the same segment Angles in cyclic quadrilaterals Angles where tangents meet radii or where two tangents meet Alternate segment theorem Exam style questions where a combination of the theorems must be applied   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12361934
Completing the square
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Completing the square

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Completing the square when the coefficient of x^2 is 1 Completing the square when the coefficient of x^2 is not 1 Completing the square when the coefficient of x is odd (number inside brackets will be a fraction) Finding turning points of graphs   Thorough, comprehensive, and carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12361955
Areas of compound shapes
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Areas of compound shapes

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This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.   Under the hood Intro examples where missing lengths don’t need to be found Harder examples where missing lengths do need to be found Examples where one of the simple shapes is a triangle Examples where pieces have been cut from rectangles   Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.   Answers included Not completely convinced? Download a free preview of the sheet here. https://www.tes.com/teaching-resource/resource-12361843